Periodicity of traces of Hecke operators modulo prime powers
Number Theory
2026-02-23 v2
Abstract
We study traces of Hecke operators on spaces of elliptic cusp forms and Drinfeld cusp forms and show that, modulo any prime power, these traces are periodic in the weight.
Keywords
Cite
@article{arxiv.2601.03029,
title = {Periodicity of traces of Hecke operators modulo prime powers},
author = {Jonas Bergström and Sjoerd de Vries},
journal= {arXiv preprint arXiv:2601.03029},
year = {2026}
}
Comments
v2, minor changes